Three-Dimensional Gauge Dynamics from Brane Configurations with (p,q)-Fivebrane

TL;DR

This paper explores three-dimensional gauge theories using type IIB superstring brane configurations derived from M-theory setups, including (p,q)-fivebranes, and discusses their mirror symmetry and vacuum structures.

Contribution

It introduces a systematic classification of 3D gauge theories from brane configurations with (p,q)-fivebranes, including Maxwell-Chern-Simons systems, and analyzes their vacuum structures.

Findings

Classified possible 3D gauge theories from brane setups.

Identified mirror symmetry relations for these theories.

Analyzed vacuum structures of Maxwell-Chern-Simons systems.

Abstract

We study three-dimensional gauge dynamics by using type IIB superstring brane configurations, which can be obtained from the M-theory configuration of M2-branes stretched between two M5-branes with relative angles. Our construction of brane configurations includes (p,q)5-brane and gives a systematic classification of possible three-dimensional gauge theories. The explicit identification of gauge theories are made and their mirror symmetry is discussed. As a new feature, our theories include interesting Maxwell-Chern-Simons system whose vacuum structure is also examined in detail, obtaining results consistent with the brane picture.